Write the Word or Phrase That Best Completes Each Statement $t$

Multiple Choice

Write the word or phrase that best completes each statement or answers the question.
-A lake is stocked with 452 fish of a new variety. The size of the lake, the availability of food, and the number of other fish restrict growth in the lake to a limiting value of 2825 . The population of fish in the lake after time $t$ , in months, is given by the function $P ( t ) = \frac { 2825 } { 1 + 5.77 e ^ { - 0.28 t } }$ . After how many months will the population be 2600 ?

A) $15 \mathrm { mo }$
B) $7 \mathrm { mo }$
C) $17 \mathrm { mo }$
D) $12 \mathrm { mo }$